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155248608256 = 2107217592
BaseRepresentation
bin1001000010010110001…
…0011100010000000000
3112211201112122102211221
42100211202130100000
510020422120431011
6155153100244424
714134130253100
oct2204542342000
9484645572757
10155248608256
115a927879225
1226108540714
1311841a84111
14772a889200
154089792971
hex242589c400

155248608256 has 99 divisors (see below), whose sum is σ = 361219632039. Its totient is φ = 66497292288.

The previous prime is 155248608253. The next prime is 155248608259. The reversal of 155248608256 is 652806842551.

The square root of 155248608256 is 394016.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (155248608253) and next prime (155248608259).

It is not an unprimeable number, because it can be changed into a prime (155248608253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88258705 + ... + 88260463.

Almost surely, 2155248608256 is an apocalyptic number.

155248608256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

155248608256 is the 394016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155248608256

155248608256 is an abundant number, since it is smaller than the sum of its proper divisors (205971023783).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155248608256 is an frugal number, since it uses more digits than its factorization.

155248608256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 52.

The spelling of 155248608256 in words is "one hundred fifty-five billion, two hundred forty-eight million, six hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1759 1792 3136 3518 3584 6272 7036 7168 12313 12544 14072 24626 25088 28144 49252 50176 56288 86191 98504 112576 172382 197008 225152 344764 394016 450304 689528 788032 900608 1379056 1576064 1801216 2758112 3094081 3152128 5516224 6188162 6304256 11032448 12376324 12608512 21658567 22064896 24752648 43317134 44129792 49505296 86634268 88259584 99010592 151609969 173268536 198021184 303219938 346537072 396042368 606439876 693074144 792084736 1212879752 1386148288 1584169472 2425759504 2772296576 3168338944 4851519008 5544593152 9703038016 11089186304 19406076032 22178372608 38812152064 77624304128 155248608256